Deterministic growth model of pattern formation in dendritic solidification

F. Family, D. E. Platt, T. Vicsek

Research output: Contribution to journalArticle

36 Citations (Scopus)


A deterministic growth process, based on the solution of the lattice Laplace equation for the temperature field, is introduced for modelling pattern formation in dendritic solidification. By a simple parameterisation of the physical and environmental conditions during crystal growth a wide variety of dendritic patterns, similar to regular snowflakes, are produced. The fractal scaling of the dendritic patterns is investigated.

Original languageEnglish
Article number009
Pages (from-to)L1177-L1183
JournalJournal of Physics A: Mathematical and General
Issue number17
Publication statusPublished - Dec 1 1987

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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